BPUT Mathematics 1 (M-1) Syllabus | B.Tech 1st Year 1st Semester | BPUT Odisha скачать в хорошем качестве

BPUT Mathematics 1 (M-1) Syllabus | B.Tech 1st Year 1st Semester | BPUT Odisha

📚 Mathematics 1 (M-1) Syllabus | B.Tech 1st Year 1st Semester | BPUT Odisha BPUT Mathematics 1 (M-1) B.Tech 1st Year 1st Semester Playlist -    • BPUT Mathematics 1 (M-1) B.Tech 1st Year 1...   BPUT Mathematics 2 (M-2) B.Tech 1st Year 2nd Semester | BPUT Odisha -    • BPUT Mathematics 2 (M-2) B.Tech 1st Year 2...   EDUCATION POINT ONLINE APP : Android - http://on-app.in/app/home?orgCode=kaeql I Phone - Download Class Plus App and Use ORG Code "KAEQL" Mathematics is one of the most important foundation subjects in engineering. In this video, we provide a complete overview of the Mathematics 1 (M-1) syllabus prescribed by Biju Patnaik University of Technology (BPUT), Odisha) for B.Tech 1st Year 1st Semester students. 🔎 What you will learn in this video: ✔️ Complete structure of the BPUT M-1 syllabus ✔️ Detailed modules and their topics ✔️ Importance of each unit in engineering studies ✔️ Preparation strategy and exam-focused approach ✔️ Recommended reference books for Mathematics-1 📖 Syllabus Overview (Module-wise): Module 1: Calculus Rolle’s theorem, Mean Value Theorems Expansion of functions: Taylor’s and Maclaurin’s series Partial differentiation, Maxima & Minima, Lagrange’s multipliers Module 2: Integral Calculus Definite integrals as a limit of sums Beta and Gamma functions, their properties Applications of definite integrals to surface area & volumes Multiple integrals, order of integration, applications in area & volume Module 3: Sequences & Series Convergence of sequences and series Tests of convergence (ratio, root tests, etc.) Power series expansion Fourier series, Half range expansions, Parseval’s theorem Module 4: Vector Spaces & Linear Algebra Vector spaces, subspaces, linear combinations Linearly dependent & independent sets Basis & dimension, Linear transformations Module 5: Matrices & Eigenvalues Rank of matrices Solutions of simultaneous equations using transformations Consistency of equations Eigenvalues & Eigenvectors, Diagonalization Cayley-Hamilton theorem & applications 🎯 Learning Outcomes: By the end of this subject, students will: ✅ Gain strong fundamentals in calculus, algebra, and series ✅ Develop problem-solving skills required for higher engineering subjects ✅ Be able to apply mathematical concepts to engineering problems ✅ Strengthen their logical and analytical thinking 📘 Recommended Books: B.S. Grewal – Higher Engineering Mathematics R.K. Jain & S.R.K. Iyengar – Advanced Engineering Mathematics Erwin Kreyszig – Advanced Engineering Mathematics 🎥 On This Channel, You Will Get: 🔔 Complete syllabus breakdowns of BPUT subjects 📘 Chapter-wise lecture series 📝 Short revision and crash courses 📊 Previous year question paper discussions 💡 Exam preparation tips and tricks 👉 Don’t forget to LIKE 👍, SHARE 🔁 & SUBSCRIBE 🔔 for more updates on BPUT Syllabus, Notes, and Lectures. #️⃣ Hashtags: #BPUT #BPUTSyllabus #Mathematics1 #M1Engineering #EngineeringMathematics #BPUTOdisha #BPUTBTech #btech1styear BPUT Mathematics 1 syllabus,BPUT M-1 syllabus,BPUT B.Tech 1st year syllabus,BPUT 1st sem syllabus,BPUT Odisha syllabus,BPUT Maths syllabus,BPUT M1 syllabus,Mathematics 1 BPUT,BPUT 1st semester M-1,Engineering Mathematics 1 BPUT,BPUT Odisha B.Tech syllabus,BPUT exam preparation,BPUT syllabus 2025